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Finding the Third Proportional to 262.50 and 390.75

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Solution

The third proportional to 262.50 and 390.75 is: 581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 390.75 = 390.75 : x
  2. Step 2: Convert to fraction form
    262.50/390.75 = 390.75/x
  3. Step 3: Cross multiply
    262.50x = 390.75 × 390.75
  4. Step 4: Simplify right side
    262.50x = 152,685.56
  5. Step 5: Solve for x
    x = 152,685.56/262.50
  6. Step 6: Final answer
    x = 581.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.